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Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations, II
In this paper, we develop a new integral representation for the solution of
the time harmonic Maxwell equations in media with piecewise constant dielectric
permittivity and magnetic permeability in R^3. This representation leads to a
coupled system of Fredholm integral equations of the second kind for four
scalar densities supported on the material interface. Like the classical Muller
equation, it has no spurious resonances. Unlike the classical approach,
however, the representation does not suffer from low frequency breakdown. We
illustrate the performance of the method with numerical examples.Comment: 36 pages, 5 figure
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